摘要
研究了Bernstein-Durrmeyer算子高阶导数与函数光滑性之间的等价关系,用Ditzian-Totik模刻划该算子点态和整体导数的特征,得到了一个等价刻划定理,所得结果统一了该算子导数的点态和整体两种渐近性态的等价表征.
The equivalence relationship between the asymptotic behaviour of higher-order derivatives of the Bernstein-Durrmeyer operators and the smoothness of the function is investigated. A equivalence characterization theorem is obtained with Ditzian-Totik modulus to characterize the point wise and global derivatives for these operators. As a result, a unitized equivalence global derivatives for these operators is obtained.
出处
《甘肃工业大学学报》
北大核心
2002年第1期110-113,共4页
Journal of Gansu University of Technology
